Seesaw relation between the cosmological constant and the Higgs mass

TL;DR

This paper proposes a geometric mean relation linking the Higgs mass, cosmological constant, and inflaton mass, aligning with observations and a holographic inflation model.

Contribution

It introduces a novel seesaw relation connecting fundamental mass scales in cosmology and particle physics, supported by observational consistency.

Findings

The relation matches observed Higgs and cosmological constant scales.

Supports a unified holographic constant roll inflation scenario.

Provides a new perspective on mass scale interrelations in cosmology.

Abstract

We propose the relation $M^*_{Higgs} = ({M_{\Lambda} \ M_{I}})^{\frac{1}{2}}$ where $ M^*_{Higgs}, M_{\Lambda}$ and $M_{I}$ denote the mass scale associated with the Higgs boson, the cosmological constant and the inflaton respectively. We demonstrate how this seesaw-like (geometric mean) relation perfectly matches observations and the unified scenario of holographic constant roll inflation